Year : 
2017
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

41 - 45 of 45 Questions

# Question Ans
41.

If \(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}\) = m + n √ 6,

find the values of m and n respectively

A. 1, − 2

B. − 2, n = 1

C. \(\frac{-2}{5}\), 1

D. \(\frac{2}{3}\)

Detailed Solution

There is an explanation video available below.
42.

If α and β are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/α + 1/β

A. \(\frac{-5}{3}\)

B. \(\frac{-2}{3}\)

C. \(\frac{1}{2}\)

D. \(\frac{5}{2}\)

Detailed Solution


1/α + 1/β = β+α/αβ
3x2 + 5x - 2 = 0
x2 + 5x/3 - 2/3 = 0
αβ = -2/3
β+α = -5/3
Thus; β+α/αβ = -2/3 -2/3 = -5/2
There is an explanation video available below.
43.

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

A. 1.03

B. 0.07

C. 0.03

D. 1.0

Detailed Solution

There is an explanation video available below.
44.

Evaluate 1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))

A. 4

B. 3

C. \(\frac{22}{3}\)

D. 3\(\frac{2}{3}\)

Detailed Solution

1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))

1 − (\(\frac{1}{5}\) x \(\frac{5}{3}\)) + (5 + \(\frac{5}{3}\))

1 − \(\frac{1}{3}\) + \(\frac{20}{3}\)

= \(\frac{22}{3}\)
There is an explanation video available below.
45.

What is the product of 2x2 − x + 1 and 3 − 2x

A. 4x3 − 8x2 + 5x + 3

B. −4x3 + 8x2 − 5x + 3

C. −4x3 − 8x2 + 5x + 3

D. 4x3 + 8x2 − 5x + 3

Detailed Solution

There is an explanation video available below.
41.

If \(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}\) = m + n √ 6,

find the values of m and n respectively

A. 1, − 2

B. − 2, n = 1

C. \(\frac{-2}{5}\), 1

D. \(\frac{2}{3}\)

Detailed Solution

There is an explanation video available below.
42.

If α and β are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/α + 1/β

A. \(\frac{-5}{3}\)

B. \(\frac{-2}{3}\)

C. \(\frac{1}{2}\)

D. \(\frac{5}{2}\)

Detailed Solution


1/α + 1/β = β+α/αβ
3x2 + 5x - 2 = 0
x2 + 5x/3 - 2/3 = 0
αβ = -2/3
β+α = -5/3
Thus; β+α/αβ = -2/3 -2/3 = -5/2
There is an explanation video available below.
43.

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

A. 1.03

B. 0.07

C. 0.03

D. 1.0

Detailed Solution

There is an explanation video available below.
44.

Evaluate 1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))

A. 4

B. 3

C. \(\frac{22}{3}\)

D. 3\(\frac{2}{3}\)

Detailed Solution

1 − (\(\frac{1}{5}\) x 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))

1 − (\(\frac{1}{5}\) x \(\frac{5}{3}\)) + (5 + \(\frac{5}{3}\))

1 − \(\frac{1}{3}\) + \(\frac{20}{3}\)

= \(\frac{22}{3}\)
There is an explanation video available below.
45.

What is the product of 2x2 − x + 1 and 3 − 2x

A. 4x3 − 8x2 + 5x + 3

B. −4x3 + 8x2 − 5x + 3

C. −4x3 − 8x2 + 5x + 3

D. 4x3 + 8x2 − 5x + 3

Detailed Solution

There is an explanation video available below.